How to convert 123.159746875 as a fraction

Question: What is 123.159746875 as a fraction?


Answer: 123.159746875 as a fraction is 17735/144


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How to convert 123.159746875 as a fraction?

Solution:123.159746875 as a fraction is 17735/144

Step 1:

The first step to converting 123.159746875 to a fraction is to re-write 123.159746875 in the form p/q where p and q are both positive integers. To start with, 123.159746875 can be written as simply 123.159746875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 123.159746875, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 123.159746875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 123.159746875/1 each by 1000000000:

123159746875/10 / 1000000000/10 = 123159746875 / 1000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 123.159746875 as a fraction:

17735/144 / 1

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